1. The sum of two different whole numbers is 12. What is the largest possible product
that the two numbers can have?
2. How many natural numbers from 1 to 200 inclusive contain exactly one "1" ?
3. The edge of a cube is 9 ft. in length. A square has the same number of square units
of area that the cube has in cubic units of volume. What is the length of a side of the
square?
4. List all of the ways that the number 42 can be written as the SUM of two prime
numbers.
5. A clock chimes once on each quarter hour, twice on the half hour, and the number
of hours on the hour. How many times will the clock chime in a twenty-four hour
period?
6. A palindromic number is one which reads the same forward and backwards. What
is the next palindromic number after 67976?
7. If a full bottle weighs as much as three empty bottles, and two plates weigh as much
as five empty bottles, how many full bottles will weigh the same as 16 empty bottles
and 14 plates?
8. Carol and Jon collect eggs at the farm. One morning Carol said to Jon: "If you give
me one egg, we will each have the same number of eggs." And Jon replied: "But if you
give me one egg, I will have twice as many eggs as you." How many eggs did each of
them collect that morning?
9. What is the smallest natural number greater than 1 which leaves a remainder of 1
when divided by 7 , 11 , and 13 ?
10. A worker received 2.5 times his regular hourly salary for working on a holiday.
When he worked 2.5 hours on that holiday, he earned $21.25. What was his normal
hourly wage?
11. When a seven is written at the right end of a 2-digit number, the value of the
expression increases by 700. What was the original 2-digit number?
12. What is the LARGEST 8-digit number made up of the digits 1 , 1 , 2 , 2 , 3 , 3 , 4
and 4 so the ones are separated by one digit, the 2's by two digits, the 3's by three
digits and the 4's by four digits?
14. When I multiply out 1 X 2 X 3 X ... X 98 X 99 X 100 , how many zeros are written
at the end of the number which is the product?